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Finding the Fourth Proportional to 12,865.98, 19,298.97 and 7,019.40

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Solution

The fourth proportional to 12,865.98, 19,298.97 and 7,019.40 is: 10,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.98 : 19,298.97 = 7,019.40 : x
  2. Step 2: Convert to fraction form
    12,865.98/19,298.97 = 7,019.40/x
  3. Step 3: Cross multiply
    12,865.98x = 19,298.97 × 7,019.40
  4. Step 4: Simplify right side
    12,865.98x = 135,467,190.02
  5. Step 5: Solve for x
    x = 135,467,190.02/12,865.98
  6. Step 6: Final answer
    x = 10,529.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.